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-Dominant- [34]
3 years ago
11

1. 2(3x – 4) + 10 = 5(x + 4) somebody please help me for 10 points ?

Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

<h3>X=18</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

<u><em>DISTRIBUTIVE PROPERTY:</em></u>

A(B+C)=AB+AC

A(B-C)=AB-AC

2(3x – 4) + 10 = 5(x + 4)

2(3x-4)+10 (First, expand by using distributive property.)

2*3x=6x

2*4=8

6x-8

6x-8+10

-8+10 (Add and subtract.)

-8+10=2

6x+2

5(x+4)

5*x=5x

5*4=20

5x+20

6x+2=5x+20

6x+2-2=5x+20-2 (Subtract 2 from both sides.)

20-2 (Solve.)

20-2=18

6x=5x+18

6x-5x=5x+18-5x (Then, subtract 5x from both sides.)

18-5x (Solve.)

18-5x=18

x=18

So, the correct answer is x=18.

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We can find the determinant by expanding via 1st column. i.e. by taking each element of 1st column and multiplying it by its co-factor matrix as shown below:

det \left[\begin{array}{ccc}-4&5&6\\0&4&4\\-2&-5&4\end{array}\right]

= (-4 \times det \left[\begin{array}{cc}4&4\\-5&4\end{array}\right]) - (0 \times (-4 \times det \left[\begin{array}{cc}5&6\\-5&4\end{array}\right]))+ ((-2) \times det\left[\begin{array}{cc}5&6\\4&4\end{array}\right])\\\\ =-4 \times (16 + 20)-(0)+(-2 \times 20-24)\\\\ =-4(36)+(-2(-4))\\\\ =-144+8\\\\ =-136

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